Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #17989123 | C2 | semidirect |
| 2. C2×D4×Dic73 | C2 | semidirect |
| 3. #17988915 | C2 | semidirect |
| 4. #17988901 | C2 | semidirect |
| 5. #17988885 | C2 | semidirect |
| 6. #17988804 | C2 | semidirect |
| 8. #17988696 | C2 | semidirect |
| 9. #17988688 | C2 | semidirect |
| 10. #17988641 | C2 | semidirect |
| 11. #450×C73 | C2 | semidirect |
| 15. #14556582 | C22 | semidirect |
| 16. #14556580 | C22 | semidirect |
| 19. Q8×Dic73 | C22 | semidirect |
| 24. #14556553 | C22 | semidirect |
| 30. #14556525 | C22 | semidirect |
| 31. #14556522 | C22 | semidirect |
| 32. #14556520 | C22 | semidirect |
| 33. #14556515 | C22 | semidirect |
| 34. #14556513 | C22 | semidirect |
| 37. #14556501 | C22 | semidirect |
| 141. C73 | #3114 | semidirect |
| 148. #450 | D73 | semidirect |